Solve: s = 4 + the square root of s+2

s = 7, 2

Step-by-step explanation:

s = 4 + √ (s + 2)

isolate the radical:

s - 4 = √ (s + 2)

square both sides:

s + 2 = (s - 4) ²

expand:

s + 2 = s² - 8s + 16

move all terms to one side:

s² - 8s + 16 - s - 2 = 0

combine like terms:

s² - 9s + 14 = 0

factor:

(s - 7) (s - 2) = 0

zero product property:

s = 7, 2

s = 7

Step-by-step explanation:

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